13585314 has 16 divisors (see below), whose sum is σ = 27515520. Its totient is φ = 4470960.

The previous prime is 13585289. The next prime is 13585321. The reversal of 13585314 is 41358531.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13857 + ... + 14804.

It is an arithmetic number, because the mean of its divisors is an integer number (1719720).

Almost surely, 2^13585314 is an apocalyptic number.

13585314 is an abundant number, since it is smaller than the sum of its proper divisors (13930206).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13585314 is a wasteful number, since it uses less digits than its factorization.

13585314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28745.

The product of its digits is 7200, while the sum is 30.

The square root of 13585314 is about 3685.8260946496. The cubic root of 13585314 is about 238.6106883512.

The spelling of 13585314 in words is "thirteen million, five hundred eighty-five thousand, three hundred fourteen".